How to find value of determinant when determinant of the adjoint matrix is given?
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My attempt:
Knowing that
A(AdjA)=IdetA
I took the determinant on both sides:
det(A)det(AdjA)=det(det(A))
So,
det(A)det(AdjA)=(det(A))3
det(AdjA)=(det(A))2
det(A)=(AdjA)0.5
The adjoint was calculated to be 4
Thus,
det(A)=40.5=2
Why is the answer -2?
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